3. Orthogonally diagonalize the following symmetric matrices. (a) (b) (c) 1 3 2 2 1 2 2 4 -4 -2-4 4

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A: x1+2x2+4x3=0x1-2x2=53x1-x3=0∴1241-2030-1x1x2x3=050124:01-20:530-1:0→R'2=R2-R1124:00-4-4:530-1:0→R'3=…

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